Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 510, 395, 436, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 395, 436, 168 is 1
GCD(510, 395, 436, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 395, 436, 168 is 1
GCD(510, 395, 436, 168) = 1
Given Input numbers are 510, 395, 436, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 510, 395, 436, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 395, 436, 168 is 1.
Therefore, GCD of numbers 510, 395, 436, 168 is 1
Given Input Data is 510, 395, 436, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 395 is 5 x 79
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(510, 395) = 40290
GCD(510, 395) = ( 510 x 395 ) / 40290
GCD(510, 395) = 201450 / 40290
GCD(510, 395) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 436) = 2180
GCD(5, 436) = ( 5 x 436 ) / 2180
GCD(5, 436) = 2180 / 2180
GCD(5, 436) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 510, 395, 436, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 395, 436, 168?
GCD of 510, 395, 436, 168 is 1
2. Where do I get the detailed procedure to find GCD of 510, 395, 436, 168?
You can find a detailed procedure to find GCD of 510, 395, 436, 168 on our page.
3. How to find GCD of 510, 395, 436, 168 on a calculator?
You can find the GCD of 510, 395, 436, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.